Analysis of channeled spectropolarimetry using singular value decomposition

Physics – Optics

Scientific paper

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Scientific paper

Channeled spectropolarimetry is a technique for measuring the spectral dependence of the polarization state of light. Passive polarization optics are used to encode the spectral dependence of the four Stokes components sk into a single irradiance spectrum. We treat the technique as a linear operator and compute its singular value decomposition numerically. The resulting singular functions divide into three distinct groups representing s0, s1 and mixtures of s2 and s3. The corresponding singular values indicate that measurements of the latter two groups will have signal-to-noise ratios reduced form that of s0 by factors of 0.6 and 0.4 respectively. The structure of the singular vectors is in agreement with a separate estimate of the system's resolution.

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